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Finding the Fourth Proportional to 84,282.60, 126,431.14 and 21,953

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Solution

The fourth proportional to 84,282.60, 126,431.14 and 21,953 is: 32,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,282.60 : 126,431.14 = 21,953 : x
  2. Step 2: Convert to fraction form
    84,282.60/126,431.14 = 21,953/x
  3. Step 3: Cross multiply
    84,282.60x = 126,431.14 × 21,953
  4. Step 4: Simplify right side
    84,282.60x = 2,775,542,816.42
  5. Step 5: Solve for x
    x = 2,775,542,816.42/84,282.60
  6. Step 6: Final answer
    x = 32,931.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.